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Non-connective K-theory of relative exact categories

The main objective of this paper is to propose a definition of non-connective K-theory for a wide class of relative exact categories which, in general, do not satisfy the factorization axiom and confirm that it agrees with the non-connective K-theory for exact categories and complicial exact categories with weak equivalences. The main application is to study the topological filtrations of non-connective K-theory of a noetherian commutative ring with unit in terms of Koszul cubes.

preprint2013arXivOpen access
Satoshi Mochizuki
math.ATmath.CTmath.AGmath.KT
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Satoshi Mochizuki

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